Information on Result #1769235
Digital (181, 216, 9859)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3216, 9859, F3, 2, 35) (dual of [(9859, 2), 19502, 36]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3214, 9858, F3, 2, 35) (dual of [(9858, 2), 19502, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3214, 19716, F3, 35) (dual of [19716, 19502, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(3214, 19716, F3, 35) (dual of [19716, 19502, 36]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (182, 217, 9859)-net over F3 | [i] | Net Duplication | |